Question

Graph the linear inequality:

$4x+2y\ge -8$

Short answer

The graph is -

Step-by-step solution

Step 1. Given information 

Linear inequality:$4x+2y\ge -8$

Step 2. Graph 

We have,

$4x+2y\ge -8$

$4x+2y=-8$ boundary line

Now, at $\left(0,0\right)$-

$4\left(0\right)+2\left(0\right)\ge -8$

$0\ge -8$

So, $\left(0,0\right)$is a solution.

The graph of the linear inequality -

All points in the shaded region and on the boundary line, represent the solutions to $4x+2y\ge -8$.